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Reference: John W. Pearson, Martin Stoll and A. J. Wathen, (2012). Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems. Wiley.Citable link to this page:

 

Robust Iterative Solution of a Class of Time-Dependent Optimal Control Problems

Abstract: The fast iterative solution of optimal control problems, and in particular PDE-constrained optimization problems, has become an active area of research in applied mathematics and numerical analysis. In this paper, we consider the solution of a class of time-dependent PDE-constrained optimization problems, specifically the distributed control of the heat equation. We develop a strategy to approximate the (1,1)-block and Schur complement of the saddle point system that results from solving this problem, and therefore derive a block diagonal preconditioner to be used within the MINRES algorithm. We present numerical results to demonstrate that this approach yields a robust solver with respect to step-size and regularization parameter.

Bibliographic Details

Issue Date: 2012-07Identifiers

Urn: uuid:0553aa14-d0f4-4f74-985b-57dbdbb33737 Item Description

Type: Technical Report;

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Autor: John W. Pearson - - - Martin Stoll - - - A. J. Wathen - - - - Bibliographic Details Issue Date: 2012-07 - Identifiers Urn: uuid:0

Fuente: https://ora.ox.ac.uk/objects/uuid:0553aa14-d0f4-4f74-985b-57dbdbb33737



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